Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs

Hayes, Brendan; Condon, Marissa; Giaouris, Damian

doi:10.1002/eng2.12237

Cited by 6 publications

(3 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, research results on DC-DC converters using the equivalent circuit model of Ref. [22] have also been reported [26][27][28][29]. These previous studies have not reported unique bifurcation structures in DC-DC converters with PV module.…”

Section: Introductionmentioning

confidence: 89%

A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module

Uchino,

Aoki,

Kousaka

et al. 2023

Transactions of ISCIE

View full text Add to dashboard Cite

In this study, the first step we investigate the bifurcation phenomenon in a current-controlled step-up DC-DC converter with photovoltaic (PV) module using a one-dimensional circuit model. Specifically, we analyze the occurrence of the bifurcation phenomenon in this circuit model by defining the output voltage of the converter as constant and utilizing a PV module nonlinear output model with a relatively small number of parameters. Our results reveal the existence of a unique bifurcation structure in DC-DC converters with PV module, which has not been previously reported. We further elucidate the mechanism of occurrence through a stability analysis based on the brute-force method. The findings of this study contribute significantly to the development of circuit and bifurcation theory for current-controlled step-up DC-DC converters with PV module.First, we show a one-dimensional model of a current-controlled step-up DC-DC converter with a PV module and demonstrate the output characteristic model and circuit behavior of the PV module. Next, we explain the stability analysis method applied to this circuit model. Finally, we analyze the bifurcation phenomenon that occurs in this circuit model and discuss the mechanism of a unique bifurcation structure.

show abstract

Section: Introductionmentioning

confidence: 89%

A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module

Uchino,

Aoki,

Kousaka

et al. 2023

Transactions of ISCIE

View full text Add to dashboard Cite

show abstract

“…To achieve that with reduced computational efforts for both analysis and simulations, mathematical modelling of MPCs must be performed instead of using a switching model. However, the non-linear equations imposed by the algebraic constraints of RESs (e.g., the implicit current-voltage equation in PVs) [46] or the algebraic constraints of design parameters of MPCs (e.g., the voltage level of different ports) [47] increase modelling complexity as the use of differential algebraic equations is required.…”

Section: Comparative Study and Conclusion On Up-ni-mpcsmentioning

confidence: 99%

Review on Non-Isolated Multiport Converters for Residential DC Microgrids

Salagiannis,

Tatakis

2023

Energies

View full text Add to dashboard Cite

Nowadays, energy sustainability needs drive the development of novel power system architectures that efficiently harvest and deliver green energy. Specifically, DC Microgrids (DC-MG) have emerged as promising bases for distributed power generation, especially in residential applications. The pivotal role of power conversion and the need for more affordable and compact converters has led to an increasing research interest. MultiPort Converters (MPCs) exhibit beneficial operational characteristics for these applications and, therefore, a plethora of different topologies is suggested in the literature. Even though there have been some attempts to organize and review the field status, the categorization is based on the existence or not of isolation between the converter’s ports, without providing insight on the topology conception. In this article, a literature review is conducted to specify the most suitable non-isolated MPC topologies for residential DC-MGs. Converters with a power rating ranging from 0.1 to 1 kW are compared based on technical features and categorized according to their topology derivation process. This procedure is performed separately for MPCs suitable for unipolar and bipolar DC Buses. The selected approach highlights the design basis for each MPC in a structured manner, facilitating further development of original converters by both new and experienced researchers.

show abstract

“…From the practitioner's point of view, such nonlinear behavior is an undesired feature; therefore, the mechanism of their onset has to be clear. Recent studies are also devoted to the analysis of more complex power converter systems, such as multicell fying capacitor converters [10], LLC resonant converters [11], cascaded DC/DC converters [12], just to name a few, and also those in connection with the nonlinear source or load, such as photovoltaic module [13]. Onset of instability in such complex systems is also caused by the reasons, which difer from those that were depicted in the classic literature, like an interaction between the load and source converter in a cascaded system [14].…”

Section: Introductionmentioning

confidence: 99%

Multistability and Its Control by the PWM Carrier Signal Modulation in a DC Electric Drive System

Kuznyetsov

2023

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Multistability is a universal nonlinear feature for many areas of physics and technology; for most applications, it is an undesired feature leading to uncertainty of the system’s functioning, and therefore, it should be controlled. We deal with the model of a multistable chopper-fed DC electric drive and study the control of multistability by the periodic modulation of a PWM (pulse-width modulation) carrier signal. The effect of utilizing sinusoidal modulation has been studied employing brute-force bifurcation diagrams as well as those obtained by numerical continuation, symbolic analysis of periodic modes, and normal form approximation of border-collision bifurcation. The result is formulated in terms of the acceptable amplitude of the modulation while the effect of phase shift is taken into account. As an alternative, a modified modulation in the form of the absolute value of the sine wave has been studied; the latter is characterized by a simpler bifurcation structure. Additionally, we propose an implementation of the adaptive control with the objective to drive the system away from a “nonnominal” mode. It has been demonstrated that such a transition should use smooth attenuation of the modulation signal to ensure the desired “nominal” operation of the system.

show abstract

Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs

Cited by 6 publications

References 34 publications

A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module

A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module

Review on Non-Isolated Multiport Converters for Residential DC Microgrids

Multistability and Its Control by the PWM Carrier Signal Modulation in a DC Electric Drive System

Contact Info

Product

Resources

About